Efficient computational nonlinear dynamic analysis using modal modification response technique

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• 作者：Timothy Marinone^a ; ^{timothy.marinone@gmail.com} ; Peter Avitabile^a ; Jason Foley^b ; Janet Wolfson^b
• 关键词：Nonlinear analysis ; Forced nonlinear response ; Linear components for nonlinear analysis ; Modal analysis ; Mode superposition
• 刊名：Mechanical Systems and Signal Processing
• 出版年：2012
• 期刊代码：189_08883270
• 类别：et
• 出版时间：August, 2012
• 卷：31
• 期：Complete
• 页码：67-93
• 文件大小：2402 K

摘要

Generally, structural systems contain nonlinear characteristics in many cases. These nonlinear systems require significant computational resources for solution of the equations of motion. Much of the model, however, is linear where the nonlinearity results from discrete local elements connecting different components together. Using a component mode synthesis approach, a nonlinear model can be developed by interconnecting these linear components with highly nonlinear connection elements.

The approach presented in this paper, the Modal Modification Response Technique (MMRT), is a very efficient technique that has been created to address this specific class of nonlinear problem. By utilizing a Structural Dynamics Modification (SDM) approach in conjunction with mode superposition, a significantly smaller set of matrices are required for use in the direct integration of the equations of motion. The approach will be compared to traditional analytical approaches to make evident the usefulness of the technique for a variety of test cases.